Estimating Differences Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: Estimating Differences Worksheets - 15 Worksheets Library
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Step-by-step solution for: Estimating Differences Worksheets - 15 Worksheets Library
Let's solve the problem step by step. The worksheet asks you to estimate the difference between two numbers by rounding them to different place values: nearest thousand, nearest ten thousand, and nearest hundred thousand.
We'll go through each section one at a time, showing how to round each number and then subtract the rounded values.
---
We round both numbers to the nearest thousand, then subtract.
#### 1.
5456878 – 365478
- Round 5456878 to nearest thousand:
Look at the hundreds digit (6) → ≥ 5, so round up.
→ 5457000
- Round 365478 to nearest thousand:
Hundreds digit is 4 → < 5, so round down.
→ 365000
Now subtract:
5457000 – 365000 = 5,092,000
✔ Answer: 5457000 – 365000 = 5,092,000
---
#### 2.
9687452 – 6352542
- 9687452 → nearest thousand: look at 4 (hundreds) → < 5 → 9687000
- 6352542 → 5 (hundreds) → round up → 6353000
Subtract:
9687000 – 6353000 = 3,334,000
✔ Answer: 9687000 – 6353000 = 3,334,000
---
#### 3.
365458 – 23546
- 365458 → 4 (hundreds) → round down → 365000
- 23546 → 5 (hundreds) → round up → 24000
Subtract:
365000 – 24000 = 341,000
✔ Answer: 365000 – 24000 = 341,000
---
#### 4.
987456 – 354654
- 987456 → 4 (hundreds) → 987000
- 354654 → 6 (hundreds) → round up → 355000
Subtract:
987000 – 355000 = 632,000
✔ Answer: 987000 – 355000 = 632,000
---
Round to the nearest ten thousand (look at thousands digit).
#### 1.
8987452 – 3524324
- 8987452 → thousands digit is 7 → round up → 8990000
- 3524324 → thousands digit is 4 → round down → 3520000
Subtract:
8990000 – 3520000 = 5,470,000
✔ Answer: 8990000 – 3520000 = 5,470,000
---
#### 2.
9658723 – 545879
- 9658723 → thousands digit is 8 → round up → 9660000
- 545879 → thousands digit is 5 → round up → 550000
Subtract:
9660000 – 550000 = 9,110,000
✔ Answer: 9660000 – 550000 = 9,110,000
---
#### 3.
7542456 – 324324
- 7542456 → thousands digit is 2 → round down → 7540000
- 324324 → thousands digit is 4 → round down → 320000
Subtract:
7540000 – 320000 = 7,220,000
✔ Answer: 7540000 – 320000 = 7,220,000
---
#### 4.
96854253 – 324324
- 96854253 → thousands digit is 4 → round down → 96850000
- 324324 → thousands digit is 4 → round down → 320000
Subtract:
96850000 – 320000 = 96,530,000
✔ Answer: 96850000 – 320000 = 96,530,000
---
Round to the nearest hundred thousand (look at ten thousands digit).
#### 1.
87344488 – 25324324
- 87344488 → ten thousands digit is 4 → round down → 87300000
- 25324324 → ten thousands digit is 2 → round down → 25300000
Subtract:
87300000 – 25300000 = 62,000,000
✔ Answer: 87300000 – 25300000 = 62,000,000
---
#### 2.
98547725 – 24785478
- 98547725 → ten thousands digit is 4 → round down → 98500000
- 24785478 → ten thousands digit is 8 → round up → 25000000
Subtract:
98500000 – 25000000 = 73,500,000
✔ Answer: 98500000 – 25000000 = 73,500,000
---
#### 3.
65874523 – 21542354
- 65874523 → ten thousands digit is 7 → round up → 65900000
- 21542354 → ten thousands digit is 4 → round down → 21500000
Subtract:
65900000 – 21500000 = 44,400,000
✔ Answer: 65900000 – 21500000 = 44,400,000
---
#### 4.
87564288 – 35324324
- 87564288 → ten thousands digit is 6 → round up → 87600000
- 35324324 → ten thousands digit is 2 → round down → 35300000
Subtract:
87600000 – 35300000 = 52,300,000
✔ Answer: 87600000 – 35300000 = 52,300,000
---
#### Part 1: Nearest Thousands
1. 5457000 – 365000 = 5,092,000
2. 9687000 – 6353000 = 3,334,000
3. 365000 – 24000 = 341,000
4. 987000 – 355000 = 632,000
#### Part 2: Nearest Ten Thousands
1. 8990000 – 3520000 = 5,470,000
2. 9660000 – 550000 = 9,110,000
3. 7540000 – 320000 = 7,220,000
4. 96850000 – 320000 = 96,530,000
#### Part 3: Nearest Hundred Thousands
1. 87300000 – 25300000 = 62,000,000
2. 98500000 – 25000000 = 73,500,000
3. 65900000 – 21500000 = 44,400,000
4. 87600000 – 35300000 = 52,300,000
---
- Rounding rules:
- If the digit to the right of the target place is ≥ 5, round up.
- If it's < 5, round down.
- Always round both numbers before subtracting.
- This gives a quick estimate, not the exact difference.
Let me know if you'd like this formatted as a printable answer sheet!
We'll go through each section one at a time, showing how to round each number and then subtract the rounded values.
---
🔹 Part 1: Estimate the difference by rounding off to the nearest thousands
We round both numbers to the nearest thousand, then subtract.
#### 1.
5456878 – 365478
- Round 5456878 to nearest thousand:
Look at the hundreds digit (6) → ≥ 5, so round up.
→ 5457000
- Round 365478 to nearest thousand:
Hundreds digit is 4 → < 5, so round down.
→ 365000
Now subtract:
5457000 – 365000 = 5,092,000
✔ Answer: 5457000 – 365000 = 5,092,000
---
#### 2.
9687452 – 6352542
- 9687452 → nearest thousand: look at 4 (hundreds) → < 5 → 9687000
- 6352542 → 5 (hundreds) → round up → 6353000
Subtract:
9687000 – 6353000 = 3,334,000
✔ Answer: 9687000 – 6353000 = 3,334,000
---
#### 3.
365458 – 23546
- 365458 → 4 (hundreds) → round down → 365000
- 23546 → 5 (hundreds) → round up → 24000
Subtract:
365000 – 24000 = 341,000
✔ Answer: 365000 – 24000 = 341,000
---
#### 4.
987456 – 354654
- 987456 → 4 (hundreds) → 987000
- 354654 → 6 (hundreds) → round up → 355000
Subtract:
987000 – 355000 = 632,000
✔ Answer: 987000 – 355000 = 632,000
---
🔹 Part 2: Estimate the difference by rounding off to the nearest ten thousands
Round to the nearest ten thousand (look at thousands digit).
#### 1.
8987452 – 3524324
- 8987452 → thousands digit is 7 → round up → 8990000
- 3524324 → thousands digit is 4 → round down → 3520000
Subtract:
8990000 – 3520000 = 5,470,000
✔ Answer: 8990000 – 3520000 = 5,470,000
---
#### 2.
9658723 – 545879
- 9658723 → thousands digit is 8 → round up → 9660000
- 545879 → thousands digit is 5 → round up → 550000
Subtract:
9660000 – 550000 = 9,110,000
✔ Answer: 9660000 – 550000 = 9,110,000
---
#### 3.
7542456 – 324324
- 7542456 → thousands digit is 2 → round down → 7540000
- 324324 → thousands digit is 4 → round down → 320000
Subtract:
7540000 – 320000 = 7,220,000
✔ Answer: 7540000 – 320000 = 7,220,000
---
#### 4.
96854253 – 324324
- 96854253 → thousands digit is 4 → round down → 96850000
- 324324 → thousands digit is 4 → round down → 320000
Subtract:
96850000 – 320000 = 96,530,000
✔ Answer: 96850000 – 320000 = 96,530,000
---
🔹 Part 3: Estimate the difference by rounding off to the nearest hundred thousands
Round to the nearest hundred thousand (look at ten thousands digit).
#### 1.
87344488 – 25324324
- 87344488 → ten thousands digit is 4 → round down → 87300000
- 25324324 → ten thousands digit is 2 → round down → 25300000
Subtract:
87300000 – 25300000 = 62,000,000
✔ Answer: 87300000 – 25300000 = 62,000,000
---
#### 2.
98547725 – 24785478
- 98547725 → ten thousands digit is 4 → round down → 98500000
- 24785478 → ten thousands digit is 8 → round up → 25000000
Subtract:
98500000 – 25000000 = 73,500,000
✔ Answer: 98500000 – 25000000 = 73,500,000
---
#### 3.
65874523 – 21542354
- 65874523 → ten thousands digit is 7 → round up → 65900000
- 21542354 → ten thousands digit is 4 → round down → 21500000
Subtract:
65900000 – 21500000 = 44,400,000
✔ Answer: 65900000 – 21500000 = 44,400,000
---
#### 4.
87564288 – 35324324
- 87564288 → ten thousands digit is 6 → round up → 87600000
- 35324324 → ten thousands digit is 2 → round down → 35300000
Subtract:
87600000 – 35300000 = 52,300,000
✔ Answer: 87600000 – 35300000 = 52,300,000
---
✔ Final Answers Summary:
#### Part 1: Nearest Thousands
1. 5457000 – 365000 = 5,092,000
2. 9687000 – 6353000 = 3,334,000
3. 365000 – 24000 = 341,000
4. 987000 – 355000 = 632,000
#### Part 2: Nearest Ten Thousands
1. 8990000 – 3520000 = 5,470,000
2. 9660000 – 550000 = 9,110,000
3. 7540000 – 320000 = 7,220,000
4. 96850000 – 320000 = 96,530,000
#### Part 3: Nearest Hundred Thousands
1. 87300000 – 25300000 = 62,000,000
2. 98500000 – 25000000 = 73,500,000
3. 65900000 – 21500000 = 44,400,000
4. 87600000 – 35300000 = 52,300,000
---
📌 Key Tips:
- Rounding rules:
- If the digit to the right of the target place is ≥ 5, round up.
- If it's < 5, round down.
- Always round both numbers before subtracting.
- This gives a quick estimate, not the exact difference.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of estimating differences worksheet.
